Properties

Label 43.6.e.a.4.6
Level 43
Weight 6
Character 43.4
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.6
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.83850 + 4.81333i) q^{2} +(-10.8788 - 13.6416i) q^{3} +(-1.31337 - 5.75427i) q^{4} +(77.8725 + 37.5014i) q^{5} +107.420 q^{6} -36.5256 q^{7} +(-144.759 - 69.7122i) q^{8} +(-13.6719 + 59.9004i) q^{9} +O(q^{10})\) \(q+(-3.83850 + 4.81333i) q^{2} +(-10.8788 - 13.6416i) q^{3} +(-1.31337 - 5.75427i) q^{4} +(77.8725 + 37.5014i) q^{5} +107.420 q^{6} -36.5256 q^{7} +(-144.759 - 69.7122i) q^{8} +(-13.6719 + 59.9004i) q^{9} +(-479.421 + 230.877i) q^{10} +(-163.208 + 715.061i) q^{11} +(-64.2094 + 80.5160i) q^{12} +(-808.880 - 389.536i) q^{13} +(140.203 - 175.810i) q^{14} +(-335.581 - 1470.27i) q^{15} +(1061.37 - 511.130i) q^{16} +(-1337.47 + 644.092i) q^{17} +(-235.841 - 295.735i) q^{18} +(129.348 + 566.711i) q^{19} +(113.518 - 497.353i) q^{20} +(397.354 + 498.266i) q^{21} +(-2815.35 - 3530.34i) q^{22} +(-392.863 + 1721.24i) q^{23} +(623.818 + 2733.13i) q^{24} +(2709.37 + 3397.44i) q^{25} +(4979.85 - 2398.17i) q^{26} +(-2854.17 + 1374.49i) q^{27} +(47.9717 + 210.178i) q^{28} +(2234.95 - 2802.53i) q^{29} +(8365.05 + 4028.39i) q^{30} +(-4712.45 + 5909.23i) q^{31} +(-469.765 + 2058.17i) q^{32} +(11530.1 - 5552.59i) q^{33} +(2033.66 - 8910.04i) q^{34} +(-2844.34 - 1369.76i) q^{35} +362.640 q^{36} -8027.40 q^{37} +(-3224.27 - 1552.73i) q^{38} +(3485.75 + 15272.1i) q^{39} +(-8658.44 - 10857.3i) q^{40} +(11133.0 - 13960.4i) q^{41} -3923.57 q^{42} +(11627.5 + 3436.61i) q^{43} +4329.01 q^{44} +(-3311.02 + 4151.88i) q^{45} +(-6776.91 - 8497.98i) q^{46} +(1179.52 + 5167.82i) q^{47} +(-18519.1 - 8918.32i) q^{48} -15472.9 q^{49} -26752.9 q^{50} +(23336.5 + 11238.3i) q^{51} +(-1179.13 + 5166.12i) q^{52} +(11629.0 - 5600.24i) q^{53} +(4339.83 - 19014.0i) q^{54} +(-39525.2 + 49563.1i) q^{55} +(5287.40 + 2546.28i) q^{56} +(6323.68 - 7929.64i) q^{57} +(4910.67 + 21515.1i) q^{58} +(5447.65 - 2623.45i) q^{59} +(-8019.62 + 3862.04i) q^{60} +(21385.9 + 26817.1i) q^{61} +(-10354.3 - 45365.2i) q^{62} +(499.373 - 2187.90i) q^{63} +(15400.3 + 19311.4i) q^{64} +(-48381.4 - 60668.3i) q^{65} +(-17531.8 + 76811.6i) q^{66} +(-656.214 - 2875.06i) q^{67} +(5462.88 + 6850.24i) q^{68} +(27754.4 - 13365.8i) q^{69} +(17511.1 - 8432.91i) q^{70} +(1653.84 + 7245.93i) q^{71} +(6154.92 - 7718.03i) q^{72} +(601.164 + 289.505i) q^{73} +(30813.2 - 38638.5i) q^{74} +(16871.8 - 73920.2i) q^{75} +(3091.13 - 1488.61i) q^{76} +(5961.26 - 26118.0i) q^{77} +(-86889.6 - 41843.8i) q^{78} -50891.2 q^{79} +101820. q^{80} +(63251.8 + 30460.4i) q^{81} +(24461.8 + 107174. i) q^{82} +(12595.8 + 15794.7i) q^{83} +(2345.28 - 2940.89i) q^{84} -128307. q^{85} +(-61173.6 + 42775.4i) q^{86} -62544.5 q^{87} +(73474.3 - 92133.9i) q^{88} +(64222.5 + 80532.5i) q^{89} +(-7275.04 - 31874.0i) q^{90} +(29544.8 + 14228.0i) q^{91} +10420.5 q^{92} +131877. q^{93} +(-29402.0 - 14159.3i) q^{94} +(-11179.8 + 48982.0i) q^{95} +(33187.2 - 15982.1i) q^{96} +(-4793.09 + 20999.9i) q^{97} +(59392.7 - 74476.1i) q^{98} +(-40601.1 - 19552.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.83850 + 4.81333i −0.678558 + 0.850885i −0.995220 0.0976536i \(-0.968866\pi\)
0.316663 + 0.948538i \(0.397438\pi\)
\(3\) −10.8788 13.6416i −0.697875 0.875108i 0.298988 0.954257i \(-0.403351\pi\)
−0.996863 + 0.0791493i \(0.974780\pi\)
\(4\) −1.31337 5.75427i −0.0410430 0.179821i
\(5\) 77.8725 + 37.5014i 1.39303 + 0.670846i 0.971734 0.236079i \(-0.0758623\pi\)
0.421292 + 0.906925i \(0.361577\pi\)
\(6\) 107.420 1.21816
\(7\) −36.5256 −0.281742 −0.140871 0.990028i \(-0.544990\pi\)
−0.140871 + 0.990028i \(0.544990\pi\)
\(8\) −144.759 69.7122i −0.799688 0.385109i
\(9\) −13.6719 + 59.9004i −0.0562629 + 0.246504i
\(10\) −479.421 + 230.877i −1.51606 + 0.730097i
\(11\) −163.208 + 715.061i −0.406686 + 1.78181i 0.192602 + 0.981277i \(0.438307\pi\)
−0.599289 + 0.800533i \(0.704550\pi\)
\(12\) −64.2094 + 80.5160i −0.128720 + 0.161410i
\(13\) −808.880 389.536i −1.32747 0.639277i −0.370331 0.928900i \(-0.620756\pi\)
−0.957141 + 0.289623i \(0.906470\pi\)
\(14\) 140.203 175.810i 0.191178 0.239730i
\(15\) −335.581 1470.27i −0.385096 1.68721i
\(16\) 1061.37 511.130i 1.03650 0.499151i
\(17\) −1337.47 + 644.092i −1.12244 + 0.540538i −0.900645 0.434556i \(-0.856905\pi\)
−0.221793 + 0.975094i \(0.571191\pi\)
\(18\) −235.841 295.735i −0.171569 0.215140i
\(19\) 129.348 + 566.711i 0.0822008 + 0.360145i 0.999254 0.0386197i \(-0.0122961\pi\)
−0.917053 + 0.398765i \(0.869439\pi\)
\(20\) 113.518 497.353i 0.0634583 0.278029i
\(21\) 397.354 + 498.266i 0.196621 + 0.246555i
\(22\) −2815.35 3530.34i −1.24015 1.55510i
\(23\) −392.863 + 1721.24i −0.154854 + 0.678458i 0.836580 + 0.547845i \(0.184552\pi\)
−0.991433 + 0.130613i \(0.958306\pi\)
\(24\) 623.818 + 2733.13i 0.221070 + 0.968571i
\(25\) 2709.37 + 3397.44i 0.866998 + 1.08718i
\(26\) 4979.85 2398.17i 1.44472 0.695739i
\(27\) −2854.17 + 1374.49i −0.753477 + 0.362855i
\(28\) 47.9717 + 210.178i 0.0115635 + 0.0506631i
\(29\) 2234.95 2802.53i 0.493483 0.618808i −0.471262 0.881993i \(-0.656202\pi\)
0.964745 + 0.263185i \(0.0847730\pi\)
\(30\) 8365.05 + 4028.39i 1.69694 + 0.817201i
\(31\) −4712.45 + 5909.23i −0.880730 + 1.10440i 0.113111 + 0.993582i \(0.463918\pi\)
−0.993841 + 0.110818i \(0.964653\pi\)
\(32\) −469.765 + 2058.17i −0.0810971 + 0.355310i
\(33\) 11530.1 5552.59i 1.84309 0.887586i
\(34\) 2033.66 8910.04i 0.301704 1.32185i
\(35\) −2844.34 1369.76i −0.392474 0.189006i
\(36\) 362.640 0.0466358
\(37\) −8027.40 −0.963986 −0.481993 0.876175i \(-0.660087\pi\)
−0.481993 + 0.876175i \(0.660087\pi\)
\(38\) −3224.27 1552.73i −0.362220 0.174436i
\(39\) 3485.75 + 15272.1i 0.366974 + 1.60782i
\(40\) −8658.44 10857.3i −0.855637 1.07293i
\(41\) 11133.0 13960.4i 1.03432 1.29699i 0.0804525 0.996758i \(-0.474363\pi\)
0.953865 0.300235i \(-0.0970651\pi\)
\(42\) −3923.57 −0.343208
\(43\) 11627.5 + 3436.61i 0.958990 + 0.283439i
\(44\) 4329.01 0.337098
\(45\) −3311.02 + 4151.88i −0.243742 + 0.305643i
\(46\) −6776.91 8497.98i −0.472212 0.592135i
\(47\) 1179.52 + 5167.82i 0.0778863 + 0.341242i 0.998825 0.0484656i \(-0.0154331\pi\)
−0.920939 + 0.389708i \(0.872576\pi\)
\(48\) −18519.1 8918.32i −1.16016 0.558702i
\(49\) −15472.9 −0.920621
\(50\) −26752.9 −1.51337
\(51\) 23336.5 + 11238.3i 1.25635 + 0.605026i
\(52\) −1179.13 + 5166.12i −0.0604720 + 0.264945i
\(53\) 11629.0 5600.24i 0.568661 0.273853i −0.127381 0.991854i \(-0.540657\pi\)
0.696042 + 0.718001i \(0.254943\pi\)
\(54\) 4339.83 19014.0i 0.202530 0.887340i
\(55\) −39525.2 + 49563.1i −1.76185 + 2.20928i
\(56\) 5287.40 + 2546.28i 0.225306 + 0.108501i
\(57\) 6323.68 7929.64i 0.257800 0.323271i
\(58\) 4910.67 + 21515.1i 0.191677 + 0.839794i
\(59\) 5447.65 2623.45i 0.203741 0.0981166i −0.329231 0.944249i \(-0.606789\pi\)
0.532972 + 0.846133i \(0.321075\pi\)
\(60\) −8019.62 + 3862.04i −0.287591 + 0.138497i
\(61\) 21385.9 + 26817.1i 0.735873 + 0.922755i 0.999119 0.0419736i \(-0.0133645\pi\)
−0.263246 + 0.964729i \(0.584793\pi\)
\(62\) −10354.3 45365.2i −0.342091 1.49880i
\(63\) 499.373 2187.90i 0.0158516 0.0694505i
\(64\) 15400.3 + 19311.4i 0.469980 + 0.589336i
\(65\) −48381.4 60668.3i −1.42035 1.78106i
\(66\) −17531.8 + 76811.6i −0.495411 + 2.17054i
\(67\) −656.214 2875.06i −0.0178591 0.0782456i 0.965213 0.261465i \(-0.0842054\pi\)
−0.983072 + 0.183219i \(0.941348\pi\)
\(68\) 5462.88 + 6850.24i 0.143268 + 0.179653i
\(69\) 27754.4 13365.8i 0.701792 0.337965i
\(70\) 17511.1 8432.91i 0.427138 0.205699i
\(71\) 1653.84 + 7245.93i 0.0389356 + 0.170588i 0.990657 0.136374i \(-0.0435448\pi\)
−0.951722 + 0.306962i \(0.900688\pi\)
\(72\) 6154.92 7718.03i 0.139924 0.175459i
\(73\) 601.164 + 289.505i 0.0132034 + 0.00635842i 0.440474 0.897765i \(-0.354810\pi\)
−0.427270 + 0.904124i \(0.640525\pi\)
\(74\) 30813.2 38638.5i 0.654120 0.820241i
\(75\) 16871.8 73920.2i 0.346344 1.51743i
\(76\) 3091.13 1488.61i 0.0613879 0.0295628i
\(77\) 5961.26 26118.0i 0.114581 0.502011i
\(78\) −86889.6 41843.8i −1.61708 0.778744i
\(79\) −50891.2 −0.917434 −0.458717 0.888583i \(-0.651691\pi\)
−0.458717 + 0.888583i \(0.651691\pi\)
\(80\) 101820. 1.77872
\(81\) 63251.8 + 30460.4i 1.07117 + 0.515850i
\(82\) 24461.8 + 107174.i 0.401747 + 1.76017i
\(83\) 12595.8 + 15794.7i 0.200693 + 0.251661i 0.871986 0.489531i \(-0.162832\pi\)
−0.671293 + 0.741192i \(0.734261\pi\)
\(84\) 2345.28 2940.89i 0.0362658 0.0454759i
\(85\) −128307. −1.92620
\(86\) −61173.6 + 42775.4i −0.891904 + 0.623661i
\(87\) −62544.5 −0.885913
\(88\) 73474.3 92133.9i 1.01141 1.26827i
\(89\) 64222.5 + 80532.5i 0.859434 + 1.07770i 0.996200 + 0.0870926i \(0.0277576\pi\)
−0.136766 + 0.990603i \(0.543671\pi\)
\(90\) −7275.04 31874.0i −0.0946737 0.414792i
\(91\) 29544.8 + 14228.0i 0.374005 + 0.180111i
\(92\) 10420.5 0.128357
\(93\) 131877. 1.58111
\(94\) −29402.0 14159.3i −0.343208 0.165280i
\(95\) −11179.8 + 48982.0i −0.127094 + 0.556836i
\(96\) 33187.2 15982.1i 0.367530 0.176993i
\(97\) −4793.09 + 20999.9i −0.0517233 + 0.226615i −0.994183 0.107706i \(-0.965650\pi\)
0.942460 + 0.334320i \(0.108507\pi\)
\(98\) 59392.7 74476.1i 0.624695 0.783343i
\(99\) −40601.1 19552.5i −0.416342 0.200500i
\(100\) 15991.4 20052.6i 0.159914 0.200526i
\(101\) −13359.3 58531.1i −0.130311 0.570931i −0.997354 0.0726971i \(-0.976839\pi\)
0.867043 0.498234i \(-0.166018\pi\)
\(102\) −143671. + 69188.2i −1.36731 + 0.658464i
\(103\) 150105. 72286.7i 1.39412 0.671375i 0.422164 0.906519i \(-0.361271\pi\)
0.971960 + 0.235144i \(0.0755563\pi\)
\(104\) 89937.1 + 112778.i 0.815372 + 1.02244i
\(105\) 12257.3 + 53702.6i 0.108498 + 0.475360i
\(106\) −17682.2 + 77470.9i −0.152852 + 0.669690i
\(107\) −1783.08 2235.92i −0.0150561 0.0188797i 0.774246 0.632884i \(-0.218129\pi\)
−0.789303 + 0.614004i \(0.789558\pi\)
\(108\) 11657.8 + 14618.4i 0.0961739 + 0.120598i
\(109\) 5443.41 23849.1i 0.0438838 0.192268i −0.948235 0.317570i \(-0.897133\pi\)
0.992119 + 0.125303i \(0.0399902\pi\)
\(110\) −86845.7 380496.i −0.684332 2.99825i
\(111\) 87328.5 + 109506.i 0.672742 + 0.843591i
\(112\) −38767.3 + 18669.3i −0.292025 + 0.140632i
\(113\) −33953.4 + 16351.1i −0.250142 + 0.120462i −0.554754 0.832014i \(-0.687188\pi\)
0.304612 + 0.952477i \(0.401473\pi\)
\(114\) 13894.5 + 60875.9i 0.100134 + 0.438716i
\(115\) −95142.3 + 119305.i −0.670856 + 0.841227i
\(116\) −19061.9 9179.71i −0.131529 0.0633408i
\(117\) 34392.3 43126.6i 0.232272 0.291260i
\(118\) −8283.28 + 36291.4i −0.0547643 + 0.239938i
\(119\) 48851.9 23525.8i 0.316238 0.152292i
\(120\) −53917.8 + 236229.i −0.341806 + 1.49755i
\(121\) −339573. 163530.i −2.10848 1.01539i
\(122\) −211169. −1.28449
\(123\) −311556. −1.85683
\(124\) 40192.5 + 19355.7i 0.234742 + 0.113046i
\(125\) 23473.6 + 102845.i 0.134371 + 0.588717i
\(126\) 8614.23 + 10801.9i 0.0483381 + 0.0606141i
\(127\) −52153.0 + 65397.7i −0.286926 + 0.359794i −0.904316 0.426863i \(-0.859619\pi\)
0.617390 + 0.786657i \(0.288190\pi\)
\(128\) −219621. −1.18481
\(129\) −79612.1 196003.i −0.421216 1.03702i
\(130\) 477729. 2.47926
\(131\) 48690.5 61055.9i 0.247894 0.310849i −0.642280 0.766470i \(-0.722011\pi\)
0.890174 + 0.455621i \(0.150583\pi\)
\(132\) −47094.4 59054.5i −0.235253 0.294997i
\(133\) −4724.51 20699.4i −0.0231594 0.101468i
\(134\) 16357.5 + 7877.36i 0.0786964 + 0.0378982i
\(135\) −273807. −1.29303
\(136\) 238512. 1.10577
\(137\) −77758.2 37446.4i −0.353952 0.170454i 0.248455 0.968644i \(-0.420077\pi\)
−0.602407 + 0.798189i \(0.705792\pi\)
\(138\) −42201.2 + 184895.i −0.188637 + 0.826473i
\(139\) 81006.1 39010.5i 0.355615 0.171255i −0.247543 0.968877i \(-0.579623\pi\)
0.603158 + 0.797622i \(0.293909\pi\)
\(140\) −4146.29 + 18166.1i −0.0178789 + 0.0783324i
\(141\) 57665.5 72310.2i 0.244269 0.306303i
\(142\) −41225.3 19853.1i −0.171571 0.0826241i
\(143\) 410557. 514823.i 1.67894 2.10532i
\(144\) 16106.0 + 70564.8i 0.0647263 + 0.283584i
\(145\) 279140. 134427.i 1.10256 0.530965i
\(146\) −3701.05 + 1782.33i −0.0143696 + 0.00692001i
\(147\) 168326. + 211075.i 0.642479 + 0.805643i
\(148\) 10543.0 + 46191.8i 0.0395648 + 0.173345i
\(149\) 27275.4 119501.i 0.100648 0.440968i −0.899345 0.437240i \(-0.855956\pi\)
0.999993 0.00372803i \(-0.00118667\pi\)
\(150\) 291040. + 364952.i 1.05615 + 1.32437i
\(151\) −89888.8 112717.i −0.320821 0.402297i 0.595102 0.803650i \(-0.297112\pi\)
−0.915923 + 0.401353i \(0.868540\pi\)
\(152\) 20782.4 91053.6i 0.0729603 0.319660i
\(153\) −20295.7 88921.1i −0.0700930 0.307097i
\(154\) 102832. + 128948.i 0.349404 + 0.438138i
\(155\) −588575. + 283443.i −1.96776 + 0.947625i
\(156\) 83301.5 40115.9i 0.274057 0.131979i
\(157\) 126017. + 552118.i 0.408020 + 1.78765i 0.593317 + 0.804969i \(0.297818\pi\)
−0.185297 + 0.982683i \(0.559325\pi\)
\(158\) 195346. 244956.i 0.622532 0.780630i
\(159\) −202906. 97714.4i −0.636505 0.306525i
\(160\) −113766. + 142658.i −0.351329 + 0.440552i
\(161\) 14349.5 62869.4i 0.0436288 0.191150i
\(162\) −389408. + 187529.i −1.16578 + 0.561411i
\(163\) 21702.0 95082.8i 0.0639781 0.280306i −0.932812 0.360363i \(-0.882653\pi\)
0.996790 + 0.0800565i \(0.0255101\pi\)
\(164\) −94953.7 45727.3i −0.275678 0.132760i
\(165\) 1.10611e6 3.16291
\(166\) −124374. −0.350316
\(167\) 137703. + 66314.3i 0.382078 + 0.183999i 0.615057 0.788483i \(-0.289133\pi\)
−0.232979 + 0.972482i \(0.574847\pi\)
\(168\) −22785.3 99828.9i −0.0622847 0.272887i
\(169\) 271051. + 339887.i 0.730018 + 0.915414i
\(170\) 492506. 617583.i 1.30704 1.63898i
\(171\) −35714.7 −0.0934020
\(172\) 4503.96 71421.2i 0.0116084 0.184080i
\(173\) 304999. 0.774790 0.387395 0.921914i \(-0.373375\pi\)
0.387395 + 0.921914i \(0.373375\pi\)
\(174\) 240077. 301047.i 0.601143 0.753810i
\(175\) −98961.2 124093.i −0.244270 0.306305i
\(176\) 192265. + 842367.i 0.467862 + 2.04984i
\(177\) −95051.8 45774.5i −0.228049 0.109822i
\(178\) −634148. −1.50017
\(179\) −656546. −1.53155 −0.765777 0.643106i \(-0.777645\pi\)
−0.765777 + 0.643106i \(0.777645\pi\)
\(180\) 28239.7 + 13599.5i 0.0649648 + 0.0312854i
\(181\) −85667.5 + 375334.i −0.194366 + 0.851572i 0.779852 + 0.625964i \(0.215294\pi\)
−0.974218 + 0.225608i \(0.927563\pi\)
\(182\) −181892. + 87594.5i −0.407038 + 0.196019i
\(183\) 133174. 583475.i 0.293963 1.28794i
\(184\) 176862. 221778.i 0.385115 0.482919i
\(185\) −625114. 301039.i −1.34286 0.646686i
\(186\) −506210. + 634768.i −1.07287 + 1.34534i
\(187\) −242279. 1.06149e6i −0.506655 2.21980i
\(188\) 28187.9 13574.6i 0.0581658 0.0280112i
\(189\) 104250. 50204.2i 0.212286 0.102232i
\(190\) −192853. 241830.i −0.387562 0.485988i
\(191\) 217796. + 954227.i 0.431983 + 1.89264i 0.450430 + 0.892812i \(0.351271\pi\)
−0.0184466 + 0.999830i \(0.505872\pi\)
\(192\) 95900.8 420169.i 0.187745 0.822566i
\(193\) −205049. 257123.i −0.396245 0.496875i 0.543187 0.839612i \(-0.317218\pi\)
−0.939431 + 0.342737i \(0.888646\pi\)
\(194\) −82681.2 103679.i −0.157726 0.197782i
\(195\) −301281. + 1.32000e6i −0.567394 + 2.48591i
\(196\) 20321.7 + 89035.1i 0.0377850 + 0.165547i
\(197\) −648050. 812629.i −1.18971 1.49186i −0.829063 0.559155i \(-0.811126\pi\)
−0.360652 0.932701i \(-0.617446\pi\)
\(198\) 249960. 120374.i 0.453114 0.218208i
\(199\) 30324.7 14603.6i 0.0542830 0.0261413i −0.406545 0.913631i \(-0.633267\pi\)
0.460828 + 0.887489i \(0.347552\pi\)
\(200\) −155362. 680686.i −0.274644 1.20329i
\(201\) −32081.6 + 40229.0i −0.0560100 + 0.0702343i
\(202\) 333009. + 160369.i 0.574220 + 0.276530i
\(203\) −81632.7 + 102364.i −0.139035 + 0.174344i
\(204\) 34018.5 149045.i 0.0572321 0.250750i
\(205\) 1.39049e6 669626.i 2.31091 1.11288i
\(206\) −228238. + 999977.i −0.374731 + 1.64181i
\(207\) −97732.1 47065.3i −0.158530 0.0763440i
\(208\) −1.05763e6 −1.69502
\(209\) −426343. −0.675140
\(210\) −305538. 147139.i −0.478098 0.230240i
\(211\) 146003. + 639679.i 0.225764 + 0.989136i 0.953053 + 0.302804i \(0.0979229\pi\)
−0.727289 + 0.686331i \(0.759220\pi\)
\(212\) −47498.6 59561.3i −0.0725840 0.0910175i
\(213\) 80854.2 101388.i 0.122111 0.153122i
\(214\) 17606.6 0.0262809
\(215\) 776583. + 703665.i 1.14576 + 1.03817i
\(216\) 508985. 0.742285
\(217\) 172125. 215838.i 0.248139 0.311156i
\(218\) 93899.2 + 117746.i 0.133820 + 0.167805i
\(219\) −2590.63 11350.3i −0.00365002 0.0159918i
\(220\) 337111. + 162344.i 0.469587 + 0.226141i
\(221\) 1.33275e6 1.83556
\(222\) −862301. −1.17429
\(223\) −450114. 216763.i −0.606122 0.291893i 0.105540 0.994415i \(-0.466343\pi\)
−0.711662 + 0.702522i \(0.752057\pi\)
\(224\) 17158.4 75175.9i 0.0228485 0.100106i
\(225\) −240550. + 115843.i −0.316774 + 0.152550i
\(226\) 51627.0 226193.i 0.0672366 0.294583i
\(227\) −736989. + 924154.i −0.949284 + 1.19036i 0.0323281 + 0.999477i \(0.489708\pi\)
−0.981612 + 0.190887i \(0.938864\pi\)
\(228\) −53934.7 25973.6i −0.0687117 0.0330898i
\(229\) −870170. + 1.09116e6i −1.09652 + 1.37499i −0.175953 + 0.984399i \(0.556301\pi\)
−0.920565 + 0.390590i \(0.872271\pi\)
\(230\) −209049. 915903.i −0.260572 1.14164i
\(231\) −421142. + 202811.i −0.519277 + 0.250070i
\(232\) −518899. + 249889.i −0.632941 + 0.304808i
\(233\) 857192. + 1.07489e6i 1.03440 + 1.29710i 0.953830 + 0.300347i \(0.0971026\pi\)
0.0805700 + 0.996749i \(0.474326\pi\)
\(234\) 75567.5 + 331083.i 0.0902184 + 0.395273i
\(235\) −101948. + 446665.i −0.120423 + 0.527609i
\(236\) −22250.8 27901.7i −0.0260056 0.0326099i
\(237\) 553635. + 694236.i 0.640254 + 0.802853i
\(238\) −74280.5 + 325444.i −0.0850027 + 0.372421i
\(239\) −56526.0 247657.i −0.0640108 0.280450i 0.932785 0.360432i \(-0.117371\pi\)
−0.996796 + 0.0799823i \(0.974514\pi\)
\(240\) −1.10768e6 1.38899e6i −1.24133 1.55657i
\(241\) −106830. + 51446.5i −0.118481 + 0.0570576i −0.492185 0.870490i \(-0.663802\pi\)
0.373704 + 0.927548i \(0.378088\pi\)
\(242\) 2.09058e6 1.00677e6i 2.29471 1.10507i
\(243\) −101279. 443731.i −0.110028 0.482063i
\(244\) 126225. 158281.i 0.135728 0.170198i
\(245\) −1.20491e6 580255.i −1.28245 0.617595i
\(246\) 1.19591e6 1.49962e6i 1.25997 1.57995i
\(247\) 116127. 508787.i 0.121113 0.530632i
\(248\) 1.09411e6 526898.i 1.12962 0.543998i
\(249\) 78436.9 343654.i 0.0801719 0.351256i
\(250\) −585129. 281783.i −0.592109 0.285144i
\(251\) 1.45157e6 1.45430 0.727149 0.686480i \(-0.240845\pi\)
0.727149 + 0.686480i \(0.240845\pi\)
\(252\) −13245.6 −0.0131393
\(253\) −1.16668e6 561841.i −1.14591 0.551839i
\(254\) −114592. 502059.i −0.111447 0.488282i
\(255\) 1.39582e6 + 1.75031e6i 1.34425 + 1.68564i
\(256\) 350208. 439147.i 0.333984 0.418803i
\(257\) 842931. 0.796085 0.398042 0.917367i \(-0.369690\pi\)
0.398042 + 0.917367i \(0.369690\pi\)
\(258\) 1.24902e6 + 369160.i 1.16821 + 0.345275i
\(259\) 293205. 0.271595
\(260\) −285559. + 358080.i −0.261977 + 0.328508i
\(261\) 137317. + 172190.i 0.124774 + 0.156461i
\(262\) 106984. + 468727.i 0.0962864 + 0.421858i
\(263\) −666497. 320968.i −0.594168 0.286136i 0.112534 0.993648i \(-0.464103\pi\)
−0.706702 + 0.707512i \(0.749818\pi\)
\(264\) −2.05616e6 −1.81572
\(265\) 1.11560e6 0.975873
\(266\) 117768. + 56714.2i 0.102053 + 0.0491460i
\(267\) 399927. 1.75219e6i 0.343323 1.50419i
\(268\) −15682.0 + 7552.07i −0.0133372 + 0.00642286i
\(269\) −218461. + 957141.i −0.184075 + 0.806483i 0.795589 + 0.605837i \(0.207161\pi\)
−0.979664 + 0.200647i \(0.935696\pi\)
\(270\) 1.05101e6 1.31792e6i 0.877398 1.10022i
\(271\) −385755. 185770.i −0.319072 0.153657i 0.267492 0.963560i \(-0.413805\pi\)
−0.586563 + 0.809903i \(0.699520\pi\)
\(272\) −1.09034e6 + 1.36724e6i −0.893594 + 1.12053i
\(273\) −127319. 557821.i −0.103392 0.452990i
\(274\) 478717. 230538.i 0.385214 0.185509i
\(275\) −2.87157e6 + 1.38287e6i −2.28975 + 1.10268i
\(276\) −113362. 142152.i −0.0895768 0.112326i
\(277\) −21626.3 94751.0i −0.0169349 0.0741967i 0.965754 0.259458i \(-0.0835439\pi\)
−0.982689 + 0.185261i \(0.940687\pi\)
\(278\) −123172. + 539651.i −0.0955871 + 0.418794i
\(279\) −289537. 363068.i −0.222687 0.279240i
\(280\) 316254. + 396570.i 0.241069 + 0.302291i
\(281\) −8774.33 + 38442.8i −0.00662900 + 0.0290436i −0.978134 0.207974i \(-0.933313\pi\)
0.971505 + 0.237018i \(0.0761700\pi\)
\(282\) 126704. + 555126.i 0.0948783 + 0.415689i
\(283\) −964471. 1.20941e6i −0.715852 0.897650i 0.282243 0.959343i \(-0.408922\pi\)
−0.998095 + 0.0616928i \(0.980350\pi\)
\(284\) 39522.9 19033.2i 0.0290772 0.0140029i
\(285\) 789814. 380354.i 0.575987 0.277381i
\(286\) 902086. + 3.95230e6i 0.652128 + 2.85716i
\(287\) −406640. + 509911.i −0.291411 + 0.365418i
\(288\) −116863. 56278.2i −0.0830225 0.0399815i
\(289\) 488709. 612822.i 0.344196 0.431608i
\(290\) −424439. + 1.85959e6i −0.296361 + 1.29844i
\(291\) 338615. 163068.i 0.234409 0.112885i
\(292\) 876.338 3839.49i 0.000601471 0.00263522i
\(293\) 1.10162e6 + 530512.i 0.749657 + 0.361016i 0.769382 0.638789i \(-0.220565\pi\)
−0.0197242 + 0.999805i \(0.506279\pi\)
\(294\) −1.66209e6 −1.12147
\(295\) 522605. 0.349638
\(296\) 1.16204e6 + 559608.i 0.770888 + 0.371240i
\(297\) −517024. 2.26523e6i −0.340110 1.49012i
\(298\) 470502. + 589991.i 0.306917 + 0.384862i
\(299\) 988265. 1.23924e6i 0.639286 0.801640i
\(300\) −447515. −0.287081
\(301\) −424700. 125524.i −0.270188 0.0798566i
\(302\) 887582. 0.560004
\(303\) −653123. + 818991.i −0.408685 + 0.512475i
\(304\) 426950. + 535378.i 0.264968 + 0.332259i
\(305\) 659695. + 2.89031e6i 0.406063 + 1.77908i
\(306\) 505912. + 243634.i 0.308867 + 0.148742i
\(307\) −2.47523e6 −1.49889 −0.749443 0.662068i \(-0.769679\pi\)
−0.749443 + 0.662068i \(0.769679\pi\)
\(308\) −158119. −0.0949748
\(309\) −2.61906e6 1.26127e6i −1.56045 0.751473i
\(310\) 894943. 3.92100e6i 0.528922 2.31736i
\(311\) 135581. 65292.5i 0.0794874 0.0382791i −0.393718 0.919231i \(-0.628811\pi\)
0.473205 + 0.880952i \(0.343097\pi\)
\(312\) 560057. 2.45377e6i 0.325721 1.42708i
\(313\) −536470. + 672713.i −0.309517 + 0.388122i −0.912123 0.409917i \(-0.865558\pi\)
0.602606 + 0.798039i \(0.294129\pi\)
\(314\) −3.14125e6 1.51274e6i −1.79795 0.865847i
\(315\) 120937. 151650.i 0.0686724 0.0861124i
\(316\) 66839.2 + 292841.i 0.0376542 + 0.164974i
\(317\) 1.46912e6 707493.i 0.821127 0.395434i 0.0243472 0.999704i \(-0.492249\pi\)
0.796780 + 0.604270i \(0.206535\pi\)
\(318\) 1.24919e6 601577.i 0.692723 0.333598i
\(319\) 1.63922e6 + 2.05552e6i 0.901905 + 1.13095i
\(320\) 475057. + 2.08136e6i 0.259341 + 1.13625i
\(321\) −11103.6 + 48648.1i −0.00601453 + 0.0263514i
\(322\) 247530. + 310393.i 0.133042 + 0.166829i
\(323\) −538014. 674648.i −0.286937 0.359808i
\(324\) 92204.3 403974.i 0.0487965 0.213792i
\(325\) −868128. 3.80352e6i −0.455906 1.99746i
\(326\) 374361. + 469434.i 0.195095 + 0.244642i
\(327\) −384557. + 185193.i −0.198880 + 0.0957757i
\(328\) −2.58482e6 + 1.24478e6i −1.32662 + 0.638864i
\(329\) −43082.7 188758.i −0.0219439 0.0961423i
\(330\) −4.24579e6 + 5.32405e6i −2.14622 + 2.69127i
\(331\) −2.27376e6 1.09499e6i −1.14071 0.549337i −0.234479 0.972121i \(-0.575339\pi\)
−0.906230 + 0.422784i \(0.861053\pi\)
\(332\) 74343.9 93224.2i 0.0370169 0.0464177i
\(333\) 109750. 480845.i 0.0542366 0.237626i
\(334\) −847766. + 408263.i −0.415824 + 0.200250i
\(335\) 56717.9 248497.i 0.0276127 0.120979i
\(336\) 676420. + 325747.i 0.326865 + 0.157410i
\(337\) 3.94533e6 1.89238 0.946191 0.323609i \(-0.104896\pi\)
0.946191 + 0.323609i \(0.104896\pi\)
\(338\) −2.67642e6 −1.27427
\(339\) 592427. + 285298.i 0.279985 + 0.134834i
\(340\) 168515. + 738311.i 0.0790571 + 0.346372i
\(341\) −3.45635e6 4.33412e6i −1.60965 2.01844i
\(342\) 137091. 171906.i 0.0633787 0.0794744i
\(343\) 1.17904e6 0.541120
\(344\) −1.44361e6 1.30806e6i −0.657738 0.595979i
\(345\) 2.66254e6 1.20434
\(346\) −1.17074e6 + 1.46806e6i −0.525740 + 0.659257i
\(347\) 1.19070e6 + 1.49309e6i 0.530859 + 0.665677i 0.972875 0.231331i \(-0.0743079\pi\)
−0.442016 + 0.897007i \(0.645737\pi\)
\(348\) 82144.4 + 359898.i 0.0363605 + 0.159306i
\(349\) −163914. 78936.6i −0.0720363 0.0346909i 0.397519 0.917594i \(-0.369871\pi\)
−0.469555 + 0.882903i \(0.655586\pi\)
\(350\) 977166. 0.426381
\(351\) 2.84409e6 1.23218
\(352\) −1.39505e6 671821.i −0.600113 0.288999i
\(353\) 57176.1 250505.i 0.0244218 0.106999i −0.961248 0.275685i \(-0.911095\pi\)
0.985670 + 0.168686i \(0.0539524\pi\)
\(354\) 585185. 281810.i 0.248190 0.119522i
\(355\) −142944. + 626280.i −0.0602000 + 0.263753i
\(356\) 379058. 475323.i 0.158519 0.198776i
\(357\) −852379. 410484.i −0.353967 0.170461i
\(358\) 2.52015e6 3.16017e6i 1.03925 1.30318i
\(359\) −14440.5 63268.2i −0.00591354 0.0259089i 0.971885 0.235456i \(-0.0756583\pi\)
−0.977799 + 0.209547i \(0.932801\pi\)
\(360\) 768736. 370204.i 0.312623 0.150551i
\(361\) 1.92646e6 927733.i 0.778021 0.374675i
\(362\) −1.47777e6 1.85307e6i −0.592701 0.743224i
\(363\) 1.46334e6 + 6.41133e6i 0.582881 + 2.55377i
\(364\) 43068.5 188695.i 0.0170375 0.0746462i
\(365\) 35957.3 + 45089.0i 0.0141272 + 0.0177149i
\(366\) 2.29727e6 + 2.88068e6i 0.896414 + 1.12407i
\(367\) 557341. 2.44187e6i 0.216001 0.946363i −0.744398 0.667736i \(-0.767264\pi\)
0.960399 0.278627i \(-0.0898792\pi\)
\(368\) 462806. + 2.02769e6i 0.178147 + 0.780515i
\(369\) 684024. + 857739.i 0.261520 + 0.327936i
\(370\) 3.84850e6 1.85334e6i 1.46146 0.703803i
\(371\) −424757. + 204552.i −0.160216 + 0.0771559i
\(372\) −173204. 758856.i −0.0648934 0.284316i
\(373\) −1.92293e6 + 2.41127e6i −0.715633 + 0.897376i −0.998082 0.0619066i \(-0.980282\pi\)
0.282449 + 0.959282i \(0.408853\pi\)
\(374\) 6.03931e6 + 2.90838e6i 2.23259 + 1.07516i
\(375\) 1.14760e6 1.43904e6i 0.421417 0.528440i
\(376\) 189514. 830315.i 0.0691308 0.302882i
\(377\) −2.89949e6 + 1.39632e6i −1.05067 + 0.505978i
\(378\) −158515. + 694499.i −0.0570611 + 0.250001i
\(379\) −4.00655e6 1.92945e6i −1.43276 0.689980i −0.453250 0.891384i \(-0.649735\pi\)
−0.979508 + 0.201404i \(0.935450\pi\)
\(380\) 296539. 0.105347
\(381\) 1.45949e6 0.515097
\(382\) −5.42902e6 2.61448e6i −1.90355 0.916699i
\(383\) 1.00101e6 + 4.38570e6i 0.348691 + 1.52772i 0.780156 + 0.625585i \(0.215140\pi\)
−0.431465 + 0.902130i \(0.642003\pi\)
\(384\) 2.38922e6 + 2.99598e6i 0.826851 + 1.03684i
\(385\) 1.44368e6 1.81032e6i 0.496386 0.622448i
\(386\) 2.02470e6 0.691658
\(387\) −364824. + 649506.i −0.123824 + 0.220448i
\(388\) 127134. 0.0428729
\(389\) 1.30681e6 1.63868e6i 0.437862 0.549062i −0.513116 0.858319i \(-0.671509\pi\)
0.950978 + 0.309257i \(0.100080\pi\)
\(390\) −5.19711e6 6.51697e6i −1.73022 2.16962i
\(391\) −583197. 2.55515e6i −0.192918 0.845231i
\(392\) 2.23984e6 + 1.07865e6i 0.736210 + 0.354540i
\(393\) −1.36259e6 −0.445025
\(394\) 6.39899e6 2.07669
\(395\) −3.96302e6 1.90849e6i −1.27801 0.615457i
\(396\) −59185.7 + 259309.i −0.0189661 + 0.0830960i
\(397\) −2.69288e6 + 1.29682e6i −0.857512 + 0.412956i −0.810360 0.585932i \(-0.800729\pi\)
−0.0471516 + 0.998888i \(0.515014\pi\)
\(398\) −46109.5 + 202019.i −0.0145909 + 0.0639269i
\(399\) −230976. + 289635.i −0.0726331 + 0.0910790i
\(400\) 4.61219e6 + 2.22111e6i 1.44131 + 0.694098i
\(401\) −2.87934e6 + 3.61058e6i −0.894195 + 1.12129i 0.0978248 + 0.995204i \(0.468812\pi\)
−0.992020 + 0.126082i \(0.959760\pi\)
\(402\) −70490.3 308838.i −0.0217553 0.0953160i
\(403\) 6.11366e6 2.94418e6i 1.87516 0.903031i
\(404\) −319258. + 153747.i −0.0973169 + 0.0468654i
\(405\) 3.78326e6 + 4.74406e6i 1.14612 + 1.43719i
\(406\) −179365. 785850.i −0.0540036 0.236605i
\(407\) 1.31014e6 5.74008e6i 0.392040 1.71764i
\(408\) −2.59472e6 3.25368e6i −0.771686 0.967664i
\(409\) 488414. + 612452.i 0.144371 + 0.181036i 0.848759 0.528779i \(-0.177350\pi\)
−0.704388 + 0.709815i \(0.748779\pi\)
\(410\) −2.11428e6 + 9.26326e6i −0.621159 + 2.72147i
\(411\) 335088. + 1.46812e6i 0.0978485 + 0.428702i
\(412\) −613101. 768804.i −0.177946 0.223138i
\(413\) −198978. + 95822.9i −0.0574025 + 0.0276436i
\(414\) 601686. 289757.i 0.172532 0.0830869i
\(415\) 388547. + 1.70234e6i 0.110745 + 0.485205i
\(416\) 1.18172e6 1.48182e6i 0.334796 0.419820i
\(417\) −1.41341e6 680664.i −0.398042 0.191687i
\(418\) 1.63652e6 2.05213e6i 0.458122 0.574466i
\(419\) 848774. 3.71872e6i 0.236188 1.03481i −0.708211 0.706001i \(-0.750497\pi\)
0.944398 0.328804i \(-0.106646\pi\)
\(420\) 292921. 141063.i 0.0810265 0.0390203i
\(421\) 703926. 3.08410e6i 0.193563 0.848054i −0.781105 0.624399i \(-0.785344\pi\)
0.974668 0.223655i \(-0.0717989\pi\)
\(422\) −3.63942e6 1.75265e6i −0.994834 0.479087i
\(423\) −325681. −0.0884996
\(424\) −2.07381e6 −0.560215
\(425\) −5.81197e6 2.79890e6i −1.56081 0.751648i
\(426\) 177655. + 778356.i 0.0474299 + 0.207804i
\(427\) −781131. 979508.i −0.207326 0.259979i
\(428\) −10524.2 + 13196.9i −0.00277703 + 0.00348228i
\(429\) −1.14894e7 −3.01407
\(430\) −6.36789e6 + 1.03693e6i −1.66083 + 0.270445i
\(431\) −6.14423e6 −1.59321 −0.796607 0.604498i \(-0.793374\pi\)
−0.796607 + 0.604498i \(0.793374\pi\)
\(432\) −2.32679e6 + 2.91770e6i −0.599857 + 0.752197i
\(433\) 2.32955e6 + 2.92117e6i 0.597108 + 0.748750i 0.984924 0.172987i \(-0.0553418\pi\)
−0.387816 + 0.921737i \(0.626770\pi\)
\(434\) 378197. + 1.65699e6i 0.0963815 + 0.422275i
\(435\) −4.87050e6 2.34551e6i −1.23410 0.594311i
\(436\) −144383. −0.0363749
\(437\) −1.02626e6 −0.257072
\(438\) 64576.9 + 31098.6i 0.0160839 + 0.00774560i
\(439\) −282497. + 1.23770e6i −0.0699604 + 0.306517i −0.997787 0.0664959i \(-0.978818\pi\)
0.927826 + 0.373013i \(0.121675\pi\)
\(440\) 9.17678e6 4.41931e6i 2.25974 1.08823i
\(441\) 211543. 926833.i 0.0517968 0.226937i
\(442\) −5.11577e6 + 6.41497e6i −1.24553 + 1.56185i
\(443\) −902325. 434537.i −0.218451 0.105200i 0.321458 0.946924i \(-0.395827\pi\)
−0.539909 + 0.841723i \(0.681541\pi\)
\(444\) 515435. 646334.i 0.124084 0.155597i
\(445\) 1.98109e6 + 8.67971e6i 0.474246 + 2.07781i
\(446\) 2.77112e6 1.33450e6i 0.659656 0.317674i
\(447\) −1.92691e6 + 927950.i −0.456134 + 0.219662i
\(448\) −562505. 705359.i −0.132413 0.166041i
\(449\) 502971. + 2.20366e6i 0.117741 + 0.515856i 0.999061 + 0.0433359i \(0.0137986\pi\)
−0.881320 + 0.472520i \(0.843344\pi\)
\(450\) 365763. 1.60251e6i 0.0851468 0.373053i
\(451\) 8.16553e6 + 1.02392e7i 1.89035 + 2.37043i
\(452\) 138682. + 173902.i 0.0319282 + 0.0400367i
\(453\) −559756. + 2.45245e6i −0.128160 + 0.561506i
\(454\) −1.61933e6 7.09474e6i −0.368719 1.61546i
\(455\) 1.76716e6 + 2.21594e6i 0.400172 + 0.501799i
\(456\) −1.46820e6 + 707049.i −0.330654 + 0.159235i
\(457\) 1.97060e6 948990.i 0.441375 0.212555i −0.199979 0.979800i \(-0.564087\pi\)
0.641354 + 0.767245i \(0.278373\pi\)
\(458\) −1.91196e6 8.37683e6i −0.425907 1.86602i
\(459\) 2.93207e6 3.67669e6i 0.649594 0.814565i
\(460\) 811469. + 390783.i 0.178804 + 0.0861075i
\(461\) 5.49783e6 6.89407e6i 1.20487 1.51086i 0.400967 0.916093i \(-0.368674\pi\)
0.803901 0.594763i \(-0.202754\pi\)
\(462\) 640357. 2.80559e6i 0.139578 0.611532i
\(463\) −6.57885e6 + 3.16821e6i −1.42626 + 0.686848i −0.978297 0.207206i \(-0.933563\pi\)
−0.447958 + 0.894055i \(0.647849\pi\)
\(464\) 939652. 4.11688e6i 0.202615 0.887715i
\(465\) 1.02696e7 + 4.94558e6i 2.20253 + 1.06068i
\(466\) −8.46411e6 −1.80558
\(467\) −1.93299e6 −0.410145 −0.205073 0.978747i \(-0.565743\pi\)
−0.205073 + 0.978747i \(0.565743\pi\)
\(468\) −293332. 141261.i −0.0619077 0.0298132i
\(469\) 23968.6 + 105013.i 0.00503165 + 0.0220451i
\(470\) −1.75862e6 2.20524e6i −0.367220 0.460480i
\(471\) 6.16085e6 7.72546e6i 1.27964 1.60462i
\(472\) −971482. −0.200715
\(473\) −4.35508e6 + 7.75347e6i −0.895042 + 1.59347i
\(474\) −5.46671e6 −1.11758
\(475\) −1.57492e6 + 1.97488e6i −0.320275 + 0.401612i
\(476\) −199535. 250209.i −0.0403647 0.0506157i
\(477\) 176466. + 773150.i 0.0355113 + 0.155585i
\(478\) 1.40903e6 + 678552.i 0.282065 + 0.135836i
\(479\) 8.08731e6 1.61052 0.805259 0.592923i \(-0.202026\pi\)
0.805259 + 0.592923i \(0.202026\pi\)
\(480\) 3.18373e6 0.630714
\(481\) 6.49320e6 + 3.12696e6i 1.27966 + 0.616254i
\(482\) 162437. 711685.i 0.0318470 0.139531i
\(483\) −1.01374e6 + 488193.i −0.197724 + 0.0952190i
\(484\) −495008. + 2.16877e6i −0.0960504 + 0.420824i
\(485\) −1.16078e6 + 1.45557e6i −0.224075 + 0.280982i
\(486\) 2.52458e6 + 1.21577e6i 0.484840 + 0.233487i
\(487\) 3.13133e6 3.92656e6i 0.598282 0.750222i −0.386827 0.922152i \(-0.626429\pi\)
0.985109 + 0.171930i \(0.0550005\pi\)
\(488\) −1.22632e6 5.37287e6i −0.233107 1.02131i
\(489\) −1.53317e6 + 738336.i −0.289947 + 0.139631i
\(490\) 7.41802e6 3.57233e6i 1.39572 0.672143i
\(491\) 479284. + 601003.i 0.0897199 + 0.112505i 0.824665 0.565621i \(-0.191364\pi\)
−0.734945 + 0.678126i \(0.762792\pi\)
\(492\) 409189. + 1.79278e6i 0.0762099 + 0.333898i
\(493\) −1.18409e6 + 5.18782e6i −0.219415 + 0.961319i
\(494\) 2.00320e6 + 2.51194e6i 0.369324 + 0.463118i
\(495\) −2.42847e6 3.04520e6i −0.445471 0.558602i
\(496\) −1.98128e6 + 8.68057e6i −0.361612 + 1.58433i
\(497\) −60407.3 264662.i −0.0109698 0.0480618i
\(498\) 1.35304e6 + 1.69666e6i 0.244477 + 0.306564i
\(499\) 1.84761e6 889764.i 0.332169 0.159964i −0.260363 0.965511i \(-0.583842\pi\)
0.592533 + 0.805546i \(0.298128\pi\)
\(500\) 560966. 270147.i 0.100349 0.0483254i
\(501\) −593412. 2.59991e6i −0.105624 0.462768i
\(502\) −5.57185e6 + 6.98688e6i −0.986825 + 1.23744i
\(503\) 8.07569e6 + 3.88905e6i 1.42318 + 0.685367i 0.977716 0.209932i \(-0.0673243\pi\)
0.445464 + 0.895300i \(0.353039\pi\)
\(504\) −224812. + 281905.i −0.0394224 + 0.0494341i
\(505\) 1.15467e6 5.05896e6i 0.201480 0.882740i
\(506\) 7.18262e6 3.45897e6i 1.24711 0.600579i
\(507\) 1.68789e6 7.39512e6i 0.291624 1.27769i
\(508\) 444813. + 214210.i 0.0764747 + 0.0368283i
\(509\) −6.48098e6 −1.10878 −0.554391 0.832256i \(-0.687049\pi\)
−0.554391 + 0.832256i \(0.687049\pi\)
\(510\) −1.37827e7 −2.34643
\(511\) −21957.8 10574.3i −0.00371995 0.00179144i
\(512\) −794367. 3.48035e6i −0.133920 0.586743i
\(513\) −1.14812e6 1.43970e6i −0.192617 0.241534i
\(514\) −3.23559e6 + 4.05731e6i −0.540190 + 0.677376i
\(515\) 1.43999e7 2.39244
\(516\) −1.02330e6 + 715535.i −0.169191 + 0.118306i
\(517\) −3.88781e6 −0.639704
\(518\) −1.12547e6 + 1.41129e6i −0.184293 + 0.231096i
\(519\) −3.31803e6 4.16067e6i −0.540706 0.678024i
\(520\) 2.77431e6 + 1.21550e7i 0.449932 + 1.97128i
\(521\) −4.62574e6 2.22764e6i −0.746599 0.359543i 0.0215895 0.999767i \(-0.493127\pi\)
−0.768188 + 0.640224i \(0.778842\pi\)
\(522\) −1.35590e6 −0.217797
\(523\) −2.38717e6 −0.381619 −0.190809 0.981627i \(-0.561111\pi\)
−0.190809 + 0.981627i \(0.561111\pi\)
\(524\) −415281. 199989.i −0.0660715 0.0318183i
\(525\) −616252. + 2.69997e6i −0.0975798 + 0.427525i
\(526\) 4.10328e6 1.97603e6i 0.646646 0.311408i
\(527\) 2.49668e6 1.09387e7i 0.391595 1.71569i
\(528\) 9.39961e6 1.17867e7i 1.46732 1.83996i
\(529\) 2.99061e6 + 1.44020e6i 0.464644 + 0.223761i
\(530\) −4.28223e6 + 5.36975e6i −0.662187 + 0.830356i
\(531\) 82666.1 + 362184.i 0.0127231 + 0.0557433i
\(532\) −112905. + 54372.2i −0.0172955 + 0.00832910i
\(533\) −1.44434e7 + 6.95555e6i −2.20217 + 1.06051i
\(534\) 6.89877e6 + 8.65078e6i 1.04693 + 1.31281i
\(535\) −55003.2 240985.i −0.00830813 0.0364003i
\(536\) −105434. + 461937.i −0.0158515 + 0.0694498i
\(537\) 7.14243e6 + 8.95632e6i 1.06883 + 1.34027i
\(538\) −3.76847e6 4.72552e6i −0.561319 0.703872i
\(539\) 2.52530e6 1.10641e7i 0.374404 1.64037i
\(540\) 359611. + 1.57556e6i 0.0530699 + 0.232514i
\(541\) −6.76180e6 8.47903e6i −0.993274 1.24553i −0.969317 0.245814i \(-0.920945\pi\)
−0.0239574 0.999713i \(-0.507627\pi\)
\(542\) 2.37489e6 1.14369e6i 0.347253 0.167228i
\(543\) 6.05211e6 2.91454e6i 0.880860 0.424200i
\(544\) −697357. 3.05532e6i −0.101032 0.442649i
\(545\) 1.31827e6 1.65306e6i 0.190113 0.238395i
\(546\) 3.17369e6 + 1.52837e6i 0.455599 + 0.219405i
\(547\) 1.58336e6 1.98547e6i 0.226262 0.283723i −0.655723 0.755002i \(-0.727636\pi\)
0.881984 + 0.471279i \(0.156207\pi\)
\(548\) −113351. + 496623.i −0.0161240 + 0.0706440i
\(549\) −1.89874e6 + 914384.i −0.268865 + 0.129479i
\(550\) 4.36629e6 1.91300e7i 0.615469 2.69655i
\(551\) 1.87731e6 + 904066.i 0.263425 + 0.126859i
\(552\) −4.94945e6 −0.691368
\(553\) 1.85883e6 0.258480
\(554\) 539080. + 259607.i 0.0746241 + 0.0359371i
\(555\) 2.69384e6 + 1.18025e7i 0.371227 + 1.62645i
\(556\) −330868. 414895.i −0.0453908 0.0569183i
\(557\) −1.40568e6 + 1.76266e6i −0.191976 + 0.240730i −0.868499 0.495692i \(-0.834915\pi\)
0.676523 + 0.736422i \(0.263486\pi\)
\(558\) 2.85896e6 0.388707
\(559\) −8.06654e6 7.30912e6i −1.09184 0.989318i
\(560\) −3.71903e6 −0.501141
\(561\) −1.18448e7 + 1.48529e7i −1.58898 + 1.99252i
\(562\) −151358. 189797.i −0.0202146 0.0253482i
\(563\) −243981. 1.06895e6i −0.0324403 0.142130i 0.956114 0.292994i \(-0.0946516\pi\)
−0.988555 + 0.150864i \(0.951795\pi\)
\(564\) −491829. 236852.i −0.0651053 0.0313530i
\(565\) −3.25723e6 −0.429266
\(566\) 9.52341e6 1.24954
\(567\) −2.31031e6 1.11258e6i −0.301795 0.145337i
\(568\) 265722. 1.16421e6i 0.0345587 0.151412i
\(569\) 4.10825e6 1.97843e6i 0.531957 0.256177i −0.148568 0.988902i \(-0.547466\pi\)
0.680525 + 0.732725i \(0.261752\pi\)
\(570\) −1.20093e6 + 5.26163e6i −0.154822 + 0.678318i
\(571\) −1.13993e6 + 1.42942e6i −0.146314 + 0.183473i −0.849588 0.527447i \(-0.823149\pi\)
0.703274 + 0.710919i \(0.251721\pi\)
\(572\) −3.50165e6 1.68630e6i −0.447489 0.215499i
\(573\) 1.06478e7 1.33519e7i 1.35480 1.69886i
\(574\) −893479. 3.91459e6i −0.113189 0.495914i
\(575\) −6.91223e6 + 3.32876e6i −0.871864 + 0.419868i
\(576\) −1.36731e6 + 658462.i −0.171716 + 0.0826941i
\(577\) 3.68714e6 + 4.62353e6i 0.461053 + 0.578142i 0.956955 0.290237i \(-0.0937340\pi\)
−0.495902 + 0.868378i \(0.665163\pi\)
\(578\) 1.07380e6 + 4.70463e6i 0.133692 + 0.585742i
\(579\) −1.27688e6 + 5.59437e6i −0.158290 + 0.693513i
\(580\) −1.14014e6 1.42969e6i −0.140731 0.176471i
\(581\) −460070. 576910.i −0.0565437 0.0709035i
\(582\) −514872. + 2.25580e6i −0.0630075 + 0.276054i
\(583\) 2.10657e6 + 9.22947e6i 0.256687 + 1.12462i
\(584\) −66841.8 83816.9i −0.00810991 0.0101695i
\(585\) 4.29552e6 2.06861e6i 0.518951 0.249914i
\(586\) −6.78210e6 + 3.26609e6i −0.815869 + 0.392902i
\(587\) −1.14127e6 5.00022e6i −0.136708 0.598955i −0.996146 0.0877150i \(-0.972044\pi\)
0.859438 0.511240i \(-0.170814\pi\)
\(588\) 993504. 1.24582e6i 0.118502 0.148597i
\(589\) −3.95837e6 1.90625e6i −0.470141 0.226408i
\(590\) −2.00602e6 + 2.51547e6i −0.237250 + 0.297502i
\(591\) −4.03554e6 + 1.76808e7i −0.475262 + 2.08226i
\(592\) −8.52007e6 + 4.10305e6i −0.999169 + 0.481174i
\(593\) −2.16685e6 + 9.49361e6i −0.253042 + 1.10865i 0.675481 + 0.737377i \(0.263936\pi\)
−0.928524 + 0.371273i \(0.878921\pi\)
\(594\) 1.28879e7 + 6.20649e6i 1.49871 + 0.721738i
\(595\) 4.68647e6 0.542692
\(596\) −723465. −0.0834261
\(597\) −529112. 254807.i −0.0607592 0.0292601i
\(598\) 2.17144e6 + 9.51369e6i 0.248310 + 1.08792i
\(599\) 6.81841e6 + 8.55002e6i 0.776455 + 0.973644i 0.999999 0.00105018i \(-0.000334282\pi\)
−0.223545 + 0.974694i \(0.571763\pi\)
\(600\) −7.59548e6 + 9.52443e6i −0.861345 + 1.08009i
\(601\) −1.30461e7 −1.47331 −0.736655 0.676268i \(-0.763596\pi\)
−0.736655 + 0.676268i \(0.763596\pi\)
\(602\) 2.23440e6 1.56240e6i 0.251287 0.175711i
\(603\) 181189. 0.0202927
\(604\) −530546. + 665284.i −0.0591740 + 0.0742018i
\(605\) −2.03108e7 2.54690e7i −2.25600 2.82894i
\(606\) −1.43506e6 6.28740e6i −0.158740 0.695487i
\(607\) 7.92709e6 + 3.81748e6i 0.873257 + 0.420538i 0.816157 0.577830i \(-0.196100\pi\)
0.0570996 + 0.998368i \(0.481815\pi\)
\(608\) −1.22715e6 −0.134629
\(609\) 2.28447e6 0.249599
\(610\) −1.64443e7 7.91915e6i −1.78933 0.861695i
\(611\) 1.05896e6 4.63961e6i 0.114756 0.502781i
\(612\) −485020. + 233573.i −0.0523457 + 0.0252084i
\(613\) −1.57781e6 + 6.91282e6i −0.169591 + 0.743026i 0.816572 + 0.577244i \(0.195872\pi\)
−0.986162 + 0.165782i \(0.946985\pi\)
\(614\) 9.50116e6 1.19141e7i 1.01708 1.27538i
\(615\) −2.42616e7 1.16838e7i −2.58662 1.24565i
\(616\) −2.68369e6 + 3.36524e6i −0.284958 + 0.357326i
\(617\) −288500. 1.26400e6i −0.0305094 0.133670i 0.957380 0.288833i \(-0.0932671\pi\)
−0.987889 + 0.155162i \(0.950410\pi\)
\(618\) 1.61242e7 7.76501e6i 1.69827 0.817845i
\(619\) 7.88091e6 3.79525e6i 0.826704 0.398120i 0.0278260 0.999613i \(-0.491142\pi\)
0.798878 + 0.601493i \(0.205427\pi\)
\(620\) 2.40403e6 + 3.01455e6i 0.251166 + 0.314952i
\(621\) −1.24454e6 5.45270e6i −0.129503 0.567392i
\(622\) −206155. + 903222.i −0.0213657 + 0.0936092i
\(623\) −2.34576e6 2.94150e6i −0.242139 0.303632i
\(624\) 1.15057e7 + 1.44277e7i 1.18291 + 1.48332i
\(625\) 992887. 4.35012e6i 0.101672 0.445452i
\(626\) −1.17874e6 5.16442e6i −0.120222 0.526727i
\(627\) 4.63810e6 + 5.81600e6i 0.471164 + 0.590820i
\(628\) 3.01153e6 1.45028e6i 0.304711 0.146741i
\(629\) 1.07364e7 5.17039e6i 1.08201 0.521071i
\(630\) 265725. + 1.16422e6i 0.0266736 + 0.116864i
\(631\) 2.96940e6 3.72351e6i 0.296890 0.372289i −0.610904 0.791705i \(-0.709194\pi\)
0.907794 + 0.419416i \(0.137765\pi\)
\(632\) 7.36695e6 + 3.54774e6i 0.733660 + 0.353312i
\(633\) 7.13790e6 8.95064e6i 0.708045 0.887861i
\(634\) −2.23384e6 + 9.78709e6i −0.220714 + 0.967009i
\(635\) −6.51379e6 + 3.13688e6i −0.641061 + 0.308719i
\(636\) −295783. + 1.29591e6i −0.0289955 + 0.127038i
\(637\) 1.25157e7 + 6.02724e6i 1.22210 + 0.588532i
\(638\) −1.61860e7 −1.57431
\(639\) −456645. −0.0442412
\(640\) −1.71025e7 8.23612e6i −1.65048 0.794827i
\(641\) 166572. + 729800.i 0.0160124 + 0.0701551i 0.982303 0.187299i \(-0.0599734\pi\)
−0.966290 + 0.257454i \(0.917116\pi\)
\(642\) −191538. 240181.i −0.0183408 0.0229986i
\(643\) −1.78066e6 + 2.23288e6i −0.169845 + 0.212979i −0.859468 0.511190i \(-0.829205\pi\)
0.689623 + 0.724169i \(0.257776\pi\)
\(644\) −380614. −0.0361634
\(645\) 1.15081e6 1.82488e7i 0.108919 1.72717i
\(646\) 5.31247e6 0.500859
\(647\) −6.82765e6 + 8.56160e6i −0.641225 + 0.804070i −0.991156 0.132705i \(-0.957634\pi\)
0.349931 + 0.936776i \(0.386205\pi\)
\(648\) −7.03279e6 8.81884e6i −0.657946 0.825038i
\(649\) 986826. + 4.32357e6i 0.0919663 + 0.402931i
\(650\) 2.16399e7 + 1.04212e7i 2.00896 + 0.967465i
\(651\) −4.81688e6 −0.445465
\(652\) −575635. −0.0530308
\(653\) 6.77540e6 + 3.26286e6i 0.621802 + 0.299444i 0.718134 0.695905i \(-0.244997\pi\)
−0.0963317 + 0.995349i \(0.530711\pi\)
\(654\) 584729. 2.56187e6i 0.0534577 0.234214i
\(655\) 6.08134e6 2.92862e6i 0.553855 0.266722i
\(656\) 4.68073e6 2.05076e7i 0.424672 1.86061i
\(657\) −25560.5 + 32051.9i −0.00231024 + 0.00289695i
\(658\) 1.07393e6 + 517175.i 0.0966962 + 0.0465664i
\(659\) −1.24607e7 + 1.56253e7i −1.11771 + 1.40157i −0.212213 + 0.977223i \(0.568067\pi\)
−0.905501 + 0.424345i \(0.860504\pi\)
\(660\) −1.45273e6 6.36483e6i −0.129815 0.568757i
\(661\) 9.48749e6 4.56893e6i 0.844593 0.406735i 0.0390253 0.999238i \(-0.487575\pi\)
0.805568 + 0.592504i \(0.201860\pi\)
\(662\) 1.39984e7 6.74126e6i 1.24146 0.597856i
\(663\) −1.44987e7 1.81808e7i −1.28099 1.60631i
\(664\) −722278. 3.16451e6i −0.0635747 0.278539i
\(665\) 408349. 1.78909e6i 0.0358078 0.156884i
\(666\) 1.89319e6 + 2.37399e6i 0.165390 + 0.207392i
\(667\) 3.94582e6 + 4.94790e6i 0.343417 + 0.430632i
\(668\) 200735. 879476.i 0.0174053 0.0762576i
\(669\) 1.93970e6 + 8.49839e6i 0.167560 + 0.734127i
\(670\) 978388. + 1.22686e6i 0.0842023 + 0.105586i
\(671\) −2.26662e7 + 1.09155e7i −1.94344 + 0.935913i
\(672\) −1.21218e6 + 583756.i −0.103549 + 0.0498664i
\(673\) −2.61283e6 1.14476e7i −0.222369 0.974260i −0.955689 0.294377i \(-0.904888\pi\)
0.733321 0.679883i \(-0.237969\pi\)
\(674\) −1.51442e7 + 1.89902e7i −1.28409 + 1.61020i
\(675\) −1.24028e7 5.97285e6i −1.04775 0.504571i
\(676\) 1.59981e6 2.00610e6i 0.134648 0.168844i
\(677\) 315875. 1.38394e6i 0.0264877 0.116050i −0.959956 0.280151i \(-0.909615\pi\)
0.986443 + 0.164101i \(0.0524724\pi\)
\(678\) −3.64726e6 + 1.75643e6i −0.304714 + 0.146743i
\(679\) 175070. 767033.i 0.0145726 0.0638469i
\(680\) 1.85735e7 + 8.94455e6i 1.54036 + 0.741799i
\(681\) 2.06245e7 1.70418
\(682\) 3.41288e7 2.80970
\(683\) 7.68027e6 + 3.69862e6i 0.629977 + 0.303381i 0.721492 0.692423i \(-0.243457\pi\)
−0.0915150 + 0.995804i \(0.529171\pi\)
\(684\) 46906.7 + 205512.i 0.00383350 + 0.0167956i
\(685\) −4.65094e6 5.83209e6i −0.378716 0.474895i
\(686\) −4.52575e6 + 5.67511e6i −0.367181 + 0.460431i
\(687\) 2.43515e7 1.96850
\(688\) 1.40976e7 2.29563e6i 1.13547 0.184897i
\(689\) −1.15880e7 −0.929950
\(690\) −1.02202e7 + 1.28157e7i −0.817213 + 1.02475i
\(691\) 1.16670e7 + 1.46300e7i 0.929533 + 1.16560i 0.985925 + 0.167188i \(0.0534688\pi\)
−0.0563924 + 0.998409i \(0.517960\pi\)
\(692\) −400578. 1.75505e6i −0.0317997 0.139323i
\(693\) 1.48298e6 + 714165.i 0.117301 + 0.0564892i
\(694\) −1.17573e7 −0.926633
\(695\) 7.77110e6 0.610268
\(696\) 9.05388e6 + 4.36012e6i 0.708454 + 0.341173i
\(697\) −5.89834e6 + 2.58423e7i −0.459884 + 2.01488i
\(698\) 1.00913e6 485972.i 0.0783987 0.0377548i
\(699\) 5.33791e6 2.33869e7i 0.413217 1.81042i
\(700\) −584094. + 732431.i −0.0450544 + 0.0564965i
\(701\) 1.92613e6 + 927574.i 0.148044 + 0.0712941i 0.506439 0.862276i \(-0.330962\pi\)
−0.358395 + 0.933570i \(0.616676\pi\)
\(702\) −1.09171e7 + 1.36896e7i −0.836109 + 1.04845i
\(703\) −1.03833e6 4.54922e6i −0.0792404 0.347175i
\(704\) −1.63223e7 + 7.86039e6i −1.24122 + 0.597740i
\(705\) 7.20229e6 3.46844e6i 0.545755 0.262822i
\(706\) 986292. + 1.23677e6i 0.0744722 + 0.0933851i
\(707\) 487958. + 2.13788e6i 0.0367142 + 0.160855i
\(708\) −138560. + 607073.i −0.0103886 + 0.0455153i
\(709\) −4.44137e6 5.56930e6i −0.331819 0.416088i 0.587734 0.809055i \(-0.300020\pi\)
−0.919553 + 0.392966i \(0.871449\pi\)
\(710\) −2.46580e6 3.09202e6i −0.183574 0.230195i
\(711\) 695778. 3.04840e6i 0.0516175 0.226151i
\(712\) −3.68268e6 1.61349e7i −0.272248 1.19280i
\(713\) −8.31987e6 1.04328e7i −0.612905 0.768558i
\(714\) 5.24766e6 2.52714e6i 0.385230 0.185517i
\(715\) 5.12778e7 2.46941e7i 3.75115 1.80646i
\(716\) 862290. + 3.77794e6i 0.0628595 + 0.275405i
\(717\) −2.76349e6 + 3.46531e6i −0.200752 + 0.251735i
\(718\) 359961. + 173348.i 0.0260582 + 0.0125490i
\(719\) −1.31879e7 + 1.65371e7i −0.951380 + 1.19299i 0.0297328 + 0.999558i \(0.490534\pi\)
−0.981113 + 0.193435i \(0.938037\pi\)
\(720\) −1.39207e6 + 6.09906e6i −0.100076 + 0.438462i
\(721\) −5.48266e6 + 2.64031e6i −0.392784 + 0.189155i
\(722\) −2.92923e6 + 1.28338e7i −0.209127 + 0.916245i
\(723\) 1.86399e6 + 897651.i 0.132617 + 0.0638649i
\(724\) 2.27229e6 0.161108
\(725\) 1.55767e7 1.10061
\(726\) −3.64769e7 1.75663e7i −2.56848 1.23691i
\(727\) 1.89782e6 + 8.31490e6i 0.133174 + 0.583473i 0.996842 + 0.0794119i \(0.0253043\pi\)
−0.863668 + 0.504061i \(0.831839\pi\)
\(728\) −3.28500e6 4.11926e6i −0.229725 0.288065i
\(729\) 5.68509e6 7.12888e6i 0.396204 0.496824i
\(730\) −355051. −0.0246594
\(731\) −1.77649e7 + 2.89280e6i −1.22962 + 0.200228i
\(732\) −3.53238e6 −0.243663
\(733\) −1.29523e7 + 1.62417e7i −0.890406 + 1.11653i 0.102153 + 0.994769i \(0.467427\pi\)
−0.992559 + 0.121765i \(0.961145\pi\)
\(734\) 9.61418e6 + 1.20558e7i 0.658676 + 0.825954i
\(735\) 5.19240e6 + 2.27494e7i 0.354527 + 1.55329i
\(736\) −3.35807e6 1.61716e6i −0.228504 0.110042i
\(737\) 2.16294e6 0.146682
\(738\) −6.75421e6 −0.456492
\(739\) −1.92551e7 9.27277e6i −1.29698 0.624595i −0.347286 0.937759i \(-0.612897\pi\)
−0.949699 + 0.313164i \(0.898611\pi\)
\(740\) −911251. + 3.99245e6i −0.0611729 + 0.268016i
\(741\) −8.20398e6 + 3.95083e6i −0.548882 + 0.264328i
\(742\) 645853. 2.82967e6i 0.0430650 0.188680i
\(743\) 533924. 669519.i 0.0354819 0.0444929i −0.763774 0.645484i \(-0.776656\pi\)
0.799256 + 0.600991i \(0.205227\pi\)
\(744\) −1.90904e7 9.19344e6i −1.26439 0.608900i
\(745\) 6.60547e6 8.28300e6i 0.436027 0.546760i
\(746\) −4.22510e6 1.85114e7i −0.277965 1.21784i
\(747\) −1.11832e6 + 538554.i −0.0733270 + 0.0353124i
\(748\) −5.78992e6 + 2.78828e6i −0.378372 + 0.182214i
\(749\) 65128.1 + 81668.1i 0.00424193 + 0.00531922i
\(750\) 2.52153e6 + 1.10475e7i 0.163686 + 0.717154i
\(751\) 2.50479e6 1.09742e7i 0.162058 0.710024i −0.826964 0.562255i \(-0.809934\pi\)
0.989022 0.147768i \(-0.0472090\pi\)
\(752\) 3.89334e6 + 4.88210e6i 0.251060 + 0.314820i
\(753\) −1.57913e7 1.98017e7i −1.01492 1.27267i
\(754\) 4.40875e6 1.93160e7i 0.282414 1.23734i
\(755\) −2.77282e6 1.21485e7i −0.177033 0.775632i
\(756\) −425808. 533946.i −0.0270962 0.0339776i
\(757\) 1.21424e7 5.84749e6i 0.770134 0.370877i −0.00719252 0.999974i \(-0.502289\pi\)
0.777327 + 0.629097i \(0.216575\pi\)
\(758\) 2.46663e7 1.18786e7i 1.55930 0.750920i